5. If APQR = ASTU.
Find the measure of angle U.

Answer:
∠ U = 117°
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
∠ T = ∠ Q = 27°
The sum of the 3 angles in a triangle = 180°, thus
∠ U = 180° - (∠ s + ∠ T) = 180° - (36 + 27)° = 180° - 63° = 117°